MATHEMATICS
MIDDLE SCHOOL

his grandma. He ends the week with $216. How

much is his paycheck?

Answer:

Answer:

$ 322

Step-by-step explanation:

x = his paycheck

x - 1/2x + 55 = 216

1/2x + 55 = 216

1/2x = 216 - 55

1/2x = 161

x = 161 * 2

x = $ 322

HIGH SCHOOL

What is the best way to describe the solution of this system of equations? y=-1/3x+4

3y-x=12

A. There are no solutions to the system.

B. There is one solution, (-12, 0)

C. There are infinitely many solutions.

D. There is one solution, (0,4).

There is one solution, (0,4).

What is equation of line?The equation of a line is a single representation of numerous points on the line. The general form of the equation of a line is of the form ax + by + c = 0 and any point on the line satisfies this equation. These two minimum requirements to form the equation of a line are the slope of the line and a point on the line.

Given equations:

y=-1/3x+4

3y-x=12

Now,

a1 = 1/3, b1 = 1, c1=-4

a2= -1, b2= 3, c2=12

Now, a1/a2 = (1/3)/ (-1)= -1/3

b1/b2= 1/3

c1/c2= -4/12= -1/3

So, a1/a2≠ b1/b2

Thus, the line is intersecting line and intersecting line has one solutions.

As, the intercept is 4.

Hence, there is one solution, (0,4).

Learn more about equation of line here:

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The answer for this problems is D. because the y-intercept is 4 for both equations.

please like and rate.

plus u can find the answer in math-way ;).

please like and rate.

plus u can find the answer in math-way ;).

MIDDLE SCHOOL

Which expressions are equivalent? A. 1/5 k - 2/3 j and - 2/3 j + 1/5 k

B. 1/5 k - 2/3 j and - 1/5 k + 2/3 j

C. 1/5 k - 2/3 j and 1/5 j -2/3 k

D. 1/5 k - 2/3 j and 2/3 j - 1/5 k

Answer A is correct.

The two values on the right side are (+1/5k) and (-2/3j), so the left side must also have a -2/3j and a +5/3k

The two values on the right side are (+1/5k) and (-2/3j), so the left side must also have a -2/3j and a +5/3k

Answer: A

Step-by-step explanation:

HIGH SCHOOL

Students found that a box with sides 12cm, 3 cm, and 3 cm held 43 Jelly Beans? - What is the volume of the box?

- What is the ratio of jelly beans to the volume of the box (in cm^3 )?

- Using the ratios found above, how many Jelly Beans would fit in a rectangular jar 28 cm tall with, that is 14 cm wide and 12 cm deep?

Answer:

Volume = 108 cm³

Ratio = 0.398 skittle/cm³

No of jellies it will hold = 1872

Step-by-step explanation:

Given:

Sides of the boxes = 12 cm , 3 cm and 3 cm

Total Jelly hold = 43 jelly

Other Box dimensions = 28 cm , 14 cm , 12 cm

To Find:

Volume = ?

Ratio of jellies to volume = ?

No of jelly fit in another box = ?

Solution:

Volume of a box is given by the formula

Volume = Length * width * Height

Putting in the values

Volume = 12 * 3 * 3

= 108 cm³

Now to find Ratio of jellies to Volume of box which is

Jellies : Volume = 43 : 108

As 43 and 108 both are not divisible by any number so it can be written as

=

= 0.398 jellies / cm³

Which is the required ratio

Now we have to find How many jellies fit in a new box So

Volume of new box =length * width * height

=28*14*12

= 4704 cm³

This box holds Jellies = Volume * ratio of each jelly per cm³

Putting in the values

Holding of jellies = 4704 * 0.398

= 1872.19 jellies or 1872 jellies

HIGH SCHOOL

15 subtracted from twice a number

The answer would be 13